Bear in mind that the area of a "parallelogram" is base * height.
notice the picture, the front and back parallelograms, have an altitude/height of 3 cm, and a base of 8 cm, so the area of one of those two is 3*8.
as far as the left and right parallelograms, they have a base of 7 cm, but the altitude is also 3 cm, so the area of one of those is 3 *7.
bear in mind the altitude/height is the distance from the base to the top, and in this case is just 3 cm.
anyway, you have 4 parallelograms, get the area of each, add them up, and that's the surface area of the figure.
2(3*8) + 2(3*7).
Answer:
x axis ?
Step-by-step explanation:
Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
21 because 9+10 is actually 21
Answer: We do not reject the null hypothesis.
Step-by-step explanation:
- When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.
Given : Test statistic : 
Significance level : 
By using the standard normal distribution table ,
The p-value corresponds to the given test statistic ( two tailed ):-

Since the p-value is greater than the significance level of 0.02.
Then , we do not reject the null hypothesis.